Boundedness in a attraction-repulsion chemotaxis system with nonlinear production

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dc.contributor.authorAyazoglu, Rabil A.
dc.date.accessioned2026-02-28T12:09:14Z
dc.date.available2026-02-28T12:09:14Z
dc.date.issued2024
dc.departmentBayburt Üniversitesi
dc.description.abstractWe study the quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type u<inf>t</inf> = ?u???·(u??)+??·(u??) with nonlinear production 0 = ?? ??? +?us, 0 = ?? ??? +?ur, subject to the homogeneous Neumann boundary conditions in a bounded domain ? ? ?N (N ? 3) with smooth boundary. It is proved that for every ?, ?, ?, ?, ?, ? > 0 and s ? N2,r > N?2/N s, there exists ?? > 0 such that if ? > ?? and any sufficiently regular initial datum u<inf>0</inf>(x) ? 0, then the model has a unique global classical solution (u, ?, ?), which is bounded in ? × (0, ?). © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
dc.identifier.endpage21
dc.identifier.issn30058139
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85210234735
dc.identifier.scopusqualityQ3
dc.identifier.startpage13
dc.identifier.urihttps://hdl.handle.net/20.500.12403/5891
dc.identifier.volume44
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
dc.relation.ispartofTransactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260218
dc.subjectBoundedness
dc.subjectchemotaxis
dc.subjectnonlinear production
dc.titleBoundedness in a attraction-repulsion chemotaxis system with nonlinear production
dc.typeArticle

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